Some preprints are available here
Research Papers
- M.G. Mora, L. Rondi, L. Scardia, E.G. Tolotti
Nonlocal anisotropic Riesz interactions with a physical confinement
Preprint July 2025
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- R.L. Frank, M.G. Mora, J. Mateu, L. Rondi, L. Scardia, J. Verdera
Explicit minimisers for anisotropic Riesz energies
Preprint April 2025
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- C. Maor, M.G. Mora
Rigorous analysis of shape transitions in frustrated elastic ribbons
Preprint March 2025
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- J.-F. Babadjian, A. Giacomini, M.G. Mora
Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity
Preprint November 2024
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- J. Casado-Díaz, G.A. Francfort, O. Lopez-Pamies, M.G. Mora
Liquid filled elastomers: from linearization to elastic enhancement
Arch. Rational Mech. Anal. 249 (2025), no. 5, 40pp.
Link to the published paper (Open Access)
- R. Cristoferi, M.G. Mora, L. Scardia
Shape optimisation for nonlocal anisotropic energies
Comm. Partial Differential Equations 49 (2024), 780-804.
Link to the published paper
- M.G. Mora
Nonlocal anisotropic interactions of Coulomb type
Proc. Roy. Soc. Edinburgh Sect. A, to appear.
Link to the published paper (Open Access)
- J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
Explicit minimisers for anisotropic Coulomb energies in 3D
Adv. Math. 434 (2023), no.109333, 28pp.
Link to the published paper (Open Access)
- J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
Energy minimisers of perturbed dislocation energies
Nonlinear Anal. 231 (2023), no.113014, 13pp.
- M.G. Mora, F. Riva
Pressure live loads and the variational derivation of linear elasticity
Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), 1929-1964.
Link to the published paper (Open Access)
- J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
Stability of ellipsoids as the energy minimizers of perturbed Coulomb energies
SIAM J. Math. Anal. 55 (2023), 3650-3676.
- L. Freddi, P. Hornung, M.G. Mora, R. Paroni
Stability of boundary conditions for the Sadowsky functional
J. Nonlinear Sci. 32 (2022), no.72, 30pp.
Link to the published paper (Open Access)
- M.G. Mora, A. Scagliotti
Equilibrium measure for a nonlocal dislocation energy with physical confinement
Adv. Calc. Var. 15 (2022), 929-938.
- C. Maor, M.G. Mora
Reference configurations versus optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces
J. Nonlinear Sci. 31 (2021), no.62, 28pp.
Link to the published paper (Open Access)
- J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
Explicit minimizers of some non-local anisotropic energies: a short proof
Izv. Math. 85 (2021), 468-482.
- J.A. Carrillo, J. Mateu, M.G. Mora, L. Scardia, J. Verdera
The equilibrium measure for an anisotropic nonlocal energy
Calc. Var. Partial Differential Equations 60 (2021), no.109, 28pp.
Link to the published paper (Open Access)
- J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
A maximum-principle approach to the minimisation of a nonlocal dislocation energy
Mathematics in Engineering 2 (2020), 253-263.
- J.A. Carrillo, J. Mateu, M.G. Mora, L. Scardia, J. Verdera
The ellipse law: Kirchhoff meets dislocations
Commun. Math. Phys. 373 (2020), 507-524.
Link to the published paper (Open Access)
- I. Fonseca, G. Leoni, M.G. Mora
A second order minimality condition for a free-boundary problem
Ann. Sc. Norm. Super. Pisa Cl. Sci. 19 (2019), 1303-1358.
- M.G. Mora, L. Rondi, L. Scardia
The equilibrium measure for a nonlocal dislocation energy
Comm. Pure Appl. Math. 72 (2019), 136-158.
- G.B. Maggiani, M.G. Mora
Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation
Ann. Mat. Pura Appl. 197 (2018), 775-815.
- J.-F. Babadjian, M.G. Mora
Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion
J. Differential Equations 264 (2018), 5109-5151.
- G.A. Francfort, M.G. Mora
Quasistatic evolution in non-associative plasticity revisited
Calc. of Var. Partial Differential Equations 57 (2018), no.11, 22pp.
- L. Freddi, P. Hornung, M.G. Mora, R. Paroni
One-dimensional von Kármán models for elastic ribbons
Meccanica 53 (2018), 659-670.
- M.G. Mora, M.A. Peletier, L. Scardia
Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement
SIAM J. Math. Anal. 49 (2017), 4149-4205.
- M.G. Mora
Relaxation of the Hencky model in perfect plasticity
J. Math. Pures Appl. 106 (2016), 725-743.
- G.B. Maggiani, M.G. Mora
A dynamic evolution model for perfectly plastic plates
Math. Models Methods Appl. Sci. 26 (2016), 1825-1864.
- L. Freddi, P. Hornung, M.G. Mora, R. Paroni
A corrected Sadowsky functional for inextensible elastic ribbons
J. Elasticity 123 (2016), 125-136.
- L. Freddi, P. Hornung, M.G. Mora, R. Paroni
A variational model for anisotropic and naturally twisted ribbons
SIAM J. Math. Anal. 48 (2016), 3883-3906.
- E. Davoli, M.G. Mora
Stress regularity for a new quasistatic evolution model of perfectly plastic plates
Calc. Var. Partial Differential Equations 54 (2015), 2581-2614.
- J.-F. Babadjian, M.G. Mora
Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models
Q. Appl. Math. 73 (2015), 265-316.
- L. Freddi, P. Hornung, M.G. Mora, R. Paroni
Nonlinear thin-walled beams with a rectangular cross-section - Part II
Math. Models Methods Appl. Sci. 23 (2013), 743-775.
- E. Davoli, M.G. Mora
A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence
Ann. Inst. H. Poincaré Anal. Nonlin. 30 (2013), 615-660.
- E. Davoli, M.G. Mora
Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density
Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), 501-524.
- J.-F. Babadjian, G.A. Francfort, M.G. Mora
Quasi-static evolution in nonassociative plasticity: the cap model
SIAM J. Math. Anal. 44 (2012), 245-292.
- L. Freddi, P. Hornung, M.G. Mora, R. Paroni
Nonlinear thin-walled beams with a rectangular cross-section - Part I
Math. Models Methods Appl. Sci. 22 (2012), no.1150016, 34pp.
- M.G. Mora, L. Scardia
Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density
J. Differential Equations 252 (2012), 35-55.
- H. Abels, M.G. Mora, S. Müller
Large time existence for thin vibrating plates
Comm. Partial Differential Equations 36 (2011), 2062-2102.
- M. Lewicka, M.G. Mora, M.R. Pakzad
The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
Arch. Rational Mech. Anal. 200 (2011), 1023-1050.
- H. Abels, M.G. Mora, S. Müller
The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity
Calc. Var. Partial Differential Equations 41 (2011), 241-259.
- H. Abels, M.G. Mora, S. Müller
Thin vibrating plates: long time existence and convergence to the von Kármán plate equations
GAMM Mitt. 34 (2011), 97-101.
- M. Lewicka, M.G. Mora, M.R. Pakzad
Shell theories arising as low energy Gamma-limit of 3D nonlinear elasticity
Ann. Sc. Norm. Super. Pisa Cl. Sci. 9 (2010), 253-295.
- M. Lewicka, M.G. Mora, M.R. Pakzad
A nonlinear theory for shells with slowly varying thickness
C. R. Acad. Sci. Paris, Sér. I 347 (2009), 211-216.
- F. Cagnetti, M.G. Mora, M. Morini
A second order minimality condition for the Mumford-Shah functional
Calc. Var. Partial Differential Equations 33 (2008), 37-74.
- G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
A vanishing viscosity approach to quasistatic evolution in plasticity with softening
Arch. Rational Mech. Anal. 189 (2008), 469-544.
- M.G. Mora, S. Müller
Convergence of equilibria of three-dimensional thin elastic beams
Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 873-896.
- G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
Globally stable quasistatic evolution in plasticity with softening
Netw. Heterog. Media 3 (2008), 567-614.
- M.G. Mora, S. Müller, M.G. Schultz
Convergence of equilibria of planar thin elastic beams
Indiana Univ. Math. J. 56 (2007), 2413-2438.
- M.G. Mora, S. Müller
Derivation of a rod theory for multiphase materials
Calc. Var. Partial Differential Equations 28 (2007), 161-178.
- G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
Time-dependent systems of generalized Young measures
Netw. Heterog. Media 2 (2007), 1-36.
- G. Dal Maso, A. DeSimone, M.G. Mora
Quasistatic evolution problems for linearly elastic-perfectly plastic materials
Arch. Rational Mech. Anal. 180 (2006), 237-291.
- M.G. Mora, S. Müller
A nonlinear model for inextensible rods as a low energy Gamma-limit of three-dimensional nonlinear elasticity
Ann. Inst. H. Poincaré Anal. Nonlin. 21 (2004), 271-293.
- M.G. Mora, S. Müller
Derivation of the nonlinear bending-torsion theory for inextensible rods by Gamma-convergence
Calc. Var. Partial Differential Equations 18 (2003), 287-305.
- G. Friesecke, R.D. James, M.G. Mora, S. Müller
Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence
C. R. Acad. Sci. Paris, Sér. I 336 (2003), 697-702.
- M.G. Mora
Local calibrations for minimizers of the Mumford-Shah functional with a triple junction
Commun. Contemp. Math. 4 (2002), 297-326.
- M.G. Mora
The calibration method for free-discontinuity problems on vector-valued maps
J. Convex Anal. 9 (2002), 1-29.
- M.G. Mora, M. Morini
Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set
Ann. Inst. H. Poincaré Anal. Nonlin. 18 (2001), 403-436.
- M. Gobbino, M.G. Mora
Finite-difference approximation of free-discontinuity problems
Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), 567-595.
- M.G. Mora, M. Morini
Functionals depending on curvatures with constraints
Rend. Sem. Mat. Univ. Padova 104 (2000), 173-199.
- G. Dal Maso, M.G. Mora, M. Morini
Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
J. Math. Pures Appl. 79 (2000), 141-162.
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